On zero-dimensional polynomial systems and their applications to the elliptic curve discrete logarithm problem

• المؤلف الرئيسي: Yun, Yang
• مؤلفون آخرون: Xing Chaoping
• التنسيق: Theses and Dissertations
• اللغة: English
• منشور في: 2018
• الموضوعات: DRNTU::Science::Mathematics
• الوصول للمادة أونلاين: http://hdl.handle.net/10356/73162

In this thesis, we first study the problem of solving zero-dimensional multivariate polynomial systems over finite fields and then study the elliptic curve discrete logarithm problem over binary fields. First, we discuss a mostly theoretical framework for solving zero-dimensional polynomial systems....